Deformation of a ferrofluid droplet in a simple shear flow under the effect of a constant magnetic field

Capobianchi, Paolo and Lappa, Marcello and Oliveira, Mónica S. N. (2018) Deformation of a ferrofluid droplet in a simple shear flow under the effect of a constant magnetic field. Computers and Fluids, 173. pp. 313-323. ISSN 0045-7930

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    Abstract

    Abstract: In the present work, we investigate the dynamics of a droplet of ferrofluid placed in a shear flow field subjected to the additional action produced by the application of a magnetic field in a direction perpendicular to the flow. The problem is solved in the framework of a moving-boundary method based on the solution of the Navier-Stokes equations complemented with the additional equations required for the determination of the magnetic force. The results reveal interesting changes in the trends displayed by the droplet deformation and inclination angle as a function of the capillary number when the intensity of the magnetic field is varied while maintaining flow conditions corresponding to the Stokes regime. The mechanism of droplet relaxation from equilibrium when the magnetic force is suddenly removed is also investigated. According to our numerical experiments the deformation evolves in time following a harmonic decaying process, which, in the limit of small capillary number, i.e. for very small deformations, can be fairly well represented by the temporal evolution of a simple damped harmonic oscillator.

    ORCID iDs

    Capobianchi, Paolo ORCID logoORCID: https://orcid.org/0000-0003-4253-7853, Lappa, Marcello ORCID logoORCID: https://orcid.org/0000-0002-0835-3420 and Oliveira, Mónica S. N. ORCID logoORCID: https://orcid.org/0000-0002-1836-4692;
    • Item type:Article
      ID code:64658
      Dates:
      Date
      Event
      15 September 2018
      Published
      2 July 2018
      Published Online
      29 June 2018
      Accepted
      Keywords:ferrofluid, dilute emulsions, level set-volume of fluid, droplet deformation, Mechanical engineering and machinery, Mechanical Engineering, Fluid Flow and Transfer Processes
      Subjects:Technology > Mechanical engineering and machinery
      Department:Faculty of Engineering > Mechanical and Aerospace Engineering
      Depositing user: Pure Administrator
      Date deposited:02 Jul 2018 14:48
      Last modified:30 Jul 2021 02:20
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/64658
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